Nazmi Burak Budanur

Nonlinear Dynamics and Turbulence Group

IST Austria

Am Campus 1

3400 Klosterneuburg, Austria



I use techniques from the theory of nonlinear dynamics in computational studies of emergent complexity in physics. Currently, I am interested in various problems that involve fluids, such as low-Re turbulence, transition to turbulence, and pilot-wave hydrodynamics. The videos below are examples from my recent research.

  • Pilot wave chaos and the underlying attractor, revealed after symmetry-reduction.

  • Left: Simulated dynamics of a chaotic pilot-wave system. Right: Underlying attractor revealed via symmetry reduction. C: Circular equilibrium with positive angular momentum, σ C: Circular equilibrium with negative angular momentum (N. B. Budanur and M. Fleury, 2019, Chaos, 29, 013122). All rights reserved.

  • Transition to turbulence in pipe flow captured on the unstable manifold of a traveling wave solution.

  • Left: Motion on the unstable manifold. Right: Flow structures during the transition to turbulence (N. B. Budanur and B. Hof, 2018, Phys. Rev. Fluids, 3, 054401). All rights reserved.
  • Teaching

    Nonlinear Dynamics and Chaos (IST Austria, Fall 2017)

  • Starts on: 10-Oct-2017
  • Ends on: 25-Jan-2017
  • Topics: Introduction to dynamical systems, Time-invariant sets and stability, Symmetries, Bifurcations, Transition to chaos, Qualitative dynamics, and selected topics
  • Course page
  • Publications


  • [2] E. Marensi, G. Yalnız, B. Hof, and N. B. Budanur, Symmetry-reduced Dynamic Mode Decomposition of Near-wall Turbulence, arXiv:2101.07516 .
  • [1] G. Yalnız, B. Hof, and N. B. Budanur, Coarse graining the state space of a turbulent flow using periodic orbits, Phys. Rev. Lett. (to appear, 2021) arXiv:2007.02584 .
  • Journal Articles

  • [14] D. Scarselli*, N. B. Budanur*, M. Timme, and B. Hof, Discontinuous epidemic transition due to limited testing , Nat. Commun. 12, 2586 (2021), *: equal contribution.
  • [13] G. Yalnız, N. B. Budanur, Inferring symbolic dynamics of chaotic flows from persistence, Chaos 30, 033109 (2020), arXiv:1910.04584 .
  • [12] N. B. Budanur, E. Marensi, A. P. Willis, B. Hof, Upper edge of chaos and the energetics of transition in pipe flow, Phys. Rev. Fluids 5, 023903 (2020), arXiv:1912.09270 .
  • [11] P. Caldas, M. Lopez-Pelegrin, D. Pearce, N. B. Budanur, J. Brugués, and M. Loose, Cooperative ordering of treadmilling filaments in cytoskeletal networks of FtsZ and its crosslinker ZapA, Nat. Commun. 10, 5744 (2019)
  • [10] N. B. Budanur, A. S. Dogra, and B. Hof, Geometry of transient chaos in streamwise-localized pipe flow turbulence, Phys. Rev. Fluids 4, 102401(R) (2019), arXiv:1810.02211 .
  • [9] N. B. Budanur and M. Fleury, State space geometry of the chaotic pilot-wave hydrodynamics, Chaos 29, 013122 (2019), arXiv:1812.09011 .
  • [8] N. B. Budanur and B. Hof, Complexity of the laminar-turbulent boundary in pipe flow, Phys. Rev. Fluids, 3, 054401 (2018), arXiv:1802.01918 .
  • [7] J. Kühnen, B. Song, D. Scarselli, N. B. Budanur, M. Riedl, A. Willis, M. Avila and B. Hof, Destabilizing turbulence in pipe flow , Nat. Phys. (2018), arXiv:1711.06543 .
  • [6] N. B. Budanur, K. Y. Short, M. Farazmand, A. P. Willis, and P. Cvitanović, Relative periodic orbits form the backbone of turbulent pipe flow, J. Fluid. Mech., 833, 274-301 (2017), arXiv:1705.03720 .
  • [5] N. B. Budanur, B. Hof, Heteroclinic path to spatially localized chaos in pipe flow, J. Fluid. Mech. 827 R1 (2017), arXiv:1703.10484 .
  • [4] B. Hof, N. B. Budanur, Searching for Order in Turbulent Flow , Physics 10, 25 (2017).
  • [3] N. B. Budanur, P. Cvitanović, Unstable manifolds of relative periodic orbits in the symmetry-reduced state space of the Kuramoto--Sivashinsky system, J. Stat. Phys. 167, 636-655 (2017), arXiv:1509.08133 .
  • [2] N. B. Budanur, D. Borrero-Echeverry, P. Cvitanović, Periodic orbit analysis of a system with continuous symmetry--A tutorial, Chaos 25, 073112 (2015), arXiv:1411.3303 .
  • [1] N. B. Budanur, P. Cvitanović, R. L. Davidchack, E. Siminos, Reduction of SO(2) symmetry for spatially extended dynamical systems, Phys. Rev. Lett. 114, 084102 (2015), arXiv:1405.1096 .
  • Theses

  • [2] N. B. Budanur, Exact coherent structures in spatiotemporal chaos: from qualitative description to quantitative predictions. PhD thesis, School of Physics, Georgia Inst. of Technology, Atlanta (2015)
  • [1] N. B. Budanur, Simulation Studies of Charge Transport on Resistive Structures in Gaseous Ionization Detectors. MSc thesis, Istanbul Technical University, Istanbul (2012)
  • Résumé

    Professional appointments

  • Jan. 2016 - : Postdoc, IST Austria
  • May. 2014 - Dec 2015: Research assistant, Georgia Tech
  • Sep. 2012 - May 2014: Teaching assistant, Georgia Tech
  • Jul. 2011 - Jul 2012: Visiting researcher, CERN
  • Oct. 2010 - Jul 2012: Teaching assistant, Dogus University
  • Education

  • Aug. 2012 - Dec. 2015: PhD, Physics, Georgia Institute of Technology, Advisor: Predrag Cvitanović
  • Sep. 2010 - Jul. 2012: MSc, Engineering Physics, Istanbul Technical University
  • Sep. 2006 - January 2011: BSc, Electronics Engineering and Engineering Physics (double major), Istanbul Technical University